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D.4.5.5 radEHV

Procedure from library ehv.lib (see ehv_lib).

Usage:
radEHV(I [,Strategy]); ideal I, Strategy list

Return:
ideal, the radical of I

Note:
uses the algorithm of Eisenbud/Huneke/Vasconcelos
Works only in characteristic 0 or p large.
The (optional) second argument determines the strategy used: Strategy[1] > strategy for the equidimensional part = 0 : uses equiMaxEHV
= 1 : uses equidimMax
Strategy[2] > strategy for the radical
= 0 : combination of strategy 1 and 2
= 1 : computation of the radical just with the
help of regular sequences
= 2 : does not try to find a regular sequence
Strategy[3] > strategy for the computation of ideal quotients = n : uses quot(.,.,n) for the ideal quotient computations If no second argument is given then Strategy=(0,0,0) is used.

Example:
 
LIB "ehv.lib";
ring  r = 0,(x,y,z),dp;
poly  p = z2+1;
poly  q = z3+2;
ideal i = p*q^2,y-z2;
ideal pr= radical(i);
pr;
==> pr[1]=z2-y
==> pr[2]=y2z+z3+2z2+2


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